Self-dual gravity and the chiral model
- 7 February 1994
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (6) , 800-803
- https://doi.org/10.1103/physrevlett.72.800
Abstract
The self-dual Einstein equation (SDE) is shown to be equivalent to the two dimensional chiral model, with gauge group chosen as the group of area preserving diffeomorphisms of a two dimensional surface. The approach given here leads to an analog of the Plebanski equations for general self-dual metrics, and to a natural Hamiltonian formulation of the SDE, namely that of the chiral model.Keywords
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